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The minimum height of the obstacle so that the sphere can stay in equilibrium is (R is radius of the sphere)
The minimum height of the obstacle so that the sphere can stay in equilibrium is (R is radius of the sphere)
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The maximum ratio of b/h for which the homogeneous block will slide without toppling under the action of force F. Coefficient of static friction between the block and incline is .
The maximum ratio of b/h for which the homogeneous block will slide without toppling under the action of force F. Coefficient of static friction between the block and incline is .
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A horizontal force F is applied at the top of an equilateral triangular block of mass m and side L as shown. The minimum value of coefficient of friction between block and the horizontal surface to topple the block before it slides.
A horizontal force F is applied at the top of an equilateral triangular block of mass m and side L as shown. The minimum value of coefficient of friction between block and the horizontal surface to topple the block before it slides.
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A horizontal force F is applied to a rectangular block of mass m width b and height H so that block moves with constant velocity. is coefficient of kinetic friction. If F is applied at a height H/2 as shown, value of x where line of action of resultant contact force applied by the surface on the block acts.
A horizontal force F is applied to a rectangular block of mass m width b and height H so that block moves with constant velocity. is coefficient of kinetic friction. If F is applied at a height H/2 as shown, value of x where line of action of resultant contact force applied by the surface on the block acts.
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A cubical block of mass m and edge length L is sliding down on an inclined plane with uniform velocity. Torque due to the normal force applied by the incline on the block about its centre of mass is
A cubical block of mass m and edge length L is sliding down on an inclined plane with uniform velocity. Torque due to the normal force applied by the incline on the block about its centre of mass is
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An isosceles right triangular plate ABC of mass m is free to rotate in vertical plane about a fixed horizontal axis through A. It is supported by a string such that the side AB is horizontal. The reaction at the support A is
An isosceles right triangular plate ABC of mass m is free to rotate in vertical plane about a fixed horizontal axis through A. It is supported by a string such that the side AB is horizontal. The reaction at the support A is
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In the above case rod does not slip until
In the above case rod does not slip until
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A rod of mass m and length L is released from rest from vertical position as shown. The normal force exerted on the rod by ground as function of as rod falls downward without slip
A rod of mass m and length L is released from rest from vertical position as shown. The normal force exerted on the rod by ground as function of as rod falls downward without slip
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PhysicsMechanics
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One fourth length of a uniform rod of mass m and length L is placed on a rough horizontal surface and it is held stationary in horizontal position by means of a light thread as shown. The thread is then burnt and the rod starts rotating about the edge when the rod about to slide on the edge, angle made by the rod with horizontal is , then normal force on the rod applied by edge of the table is
One fourth length of a uniform rod of mass m and length L is placed on a rough horizontal surface and it is held stationary in horizontal position by means of a light thread as shown. The thread is then burnt and the rod starts rotating about the edge when the rod about to slide on the edge, angle made by the rod with horizontal is , then normal force on the rod applied by edge of the table is
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Physics
A uniform thin rod of mass m and length L is standing on a smooth horizontal surface. A slight disturbance causes the lower end to slip on the smooth surface and the rod starts falling. Then velocity of centre of mass of the rod when it makes an angle with horizontal is
A uniform thin rod of mass m and length L is standing on a smooth horizontal surface. A slight disturbance causes the lower end to slip on the smooth surface and the rod starts falling. Then velocity of centre of mass of the rod when it makes an angle with horizontal is
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Physics
A uniform rod of mass m and length L is smoothly pivoted at one of its ends. When it is released from rest from horizontal position, it swings in a vertical circle. When the rod swings through an angle with horizontal, reaction force offered by the rod along normal and tangential directions are respectively
A uniform rod of mass m and length L is smoothly pivoted at one of its ends. When it is released from rest from horizontal position, it swings in a vertical circle. When the rod swings through an angle with horizontal, reaction force offered by the rod along normal and tangential directions are respectively
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Physics
Consider the situation as shown in the diagram. The pulley has radius R and moment of inertia I. The block is released when the spring (spring constant K) is unstretched. Find the speed of block when the block has fallen a distance h. Assume no slipping.
Consider the situation as shown in the diagram. The pulley has radius R and moment of inertia I. The block is released when the spring (spring constant K) is unstretched. Find the speed of block when the block has fallen a distance h. Assume no slipping.
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Physics
A uniform circular disc has radius R and mass m. A particle also of mass m is fixed at a point A on the edge of the disc as shown in the figure. The disc can rotate freely about a fixed horizontal chord P Q that is at a distance R/4 from the center C of the disc. The line AC is perpendicular of P Q. Initially, the disc is held vertical with the point A at its highest position. It is then allowed to fall so that it starts rotating about P Q. Find the linear speed of the particle as it reaches its lowest position.
A uniform circular disc has radius R and mass m. A particle also of mass m is fixed at a point A on the edge of the disc as shown in the figure. The disc can rotate freely about a fixed horizontal chord P Q that is at a distance R/4 from the center C of the disc. The line AC is perpendicular of P Q. Initially, the disc is held vertical with the point A at its highest position. It is then allowed to fall so that it starts rotating about P Q. Find the linear speed of the particle as it reaches its lowest position.
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